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anjali_pant
 3 years ago
Find kerT and range T and also find their basis and dimension. Hence verify ranknullity for the following linear transformations :
a) T: R^3>R
T(x,y,z)=x+y+z
b) T:R^3>R^3 s.t
T(x,y,z)=(x+2yz, y+z, x+y2z)
anjali_pant
 3 years ago
Find kerT and range T and also find their basis and dimension. Hence verify ranknullity for the following linear transformations : a) T: R^3>R T(x,y,z)=x+y+z b) T:R^3>R^3 s.t T(x,y,z)=(x+2yz, y+z, x+y2z)

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amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0just a thought, but R^3 has 3 rows, n columns R^1 has 1 row, 1 column in order to map R^3 into R^1 we would have to have T as a 3x1 matrix right?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0a also reminds me of a plane equation; <1,1,1> dot s<x,y,z> = 0 not that that makes things any clearer for me

anjali_pant
 3 years ago
Best ResponseYou've already chosen the best response.0try the next question !
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